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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000008837133733 5,278 digits created 2026-05-30

Value

1096749908414150311948723202655240851234412068070013664430109034988134311812674355610824579933983939220761896593047309519119306371385781199076892066913029865258402384675150968108521120903321282562191962285664332489205312050637710507158681769573171200476231325949320866430803559241941255522367118914289783486920386358391617239205125823983232718643793709824355439925823384303412381550665370853788136086196193567519673605970087575772805834350646590924723858011700316071838772837930620857004788429562314572649473519420086241392079237219946357839874741736043655207831309393310143549878071955904585980253507402181140461338373464820856043954314973219577056279145803425986425548778351772963448110374290665362335498237159404299010220445430253080743701911556167696850104603736946142959240220107652446966703742396277987727969882968002075633899329371984985358189662045906451619355095175891809303962418023050852717877903008619991158209429134696868910154211195426128496224551810397581523632880559756934810467624471632749868453879986924638274606868101436741852881007695785783745875164029063493695032489388321924688885479850342050636745876622789135598348008527014147730132957126534810751732582692376821661620483020292673811104725011237939194232804248158828625282954654116698846963301734107278915331347786766171919899159260797859186383650172070072909712579308555340476231204312002547636353112712290213924304001184346579277406369513393408650200340848805317175075052723631186047551450345958146974846785975704464550339111755274900461981479038673255078610342697780504214628487120567763008141058100323900134763843946486373439732138776485117515704428393292379891971395385696368583601391464776490331036147808946101225860536956647387405280436515281811174860909386033503948621160637676017025458140990394410575423944532503687993546970882585005878403531207647353835572202310634643788185679373602699029808079647145981181236466007093191547212452300438016486665314046616205352320257976960968135471575981311196424987719178211379073540011231144444524008159722161743995351406822705401279516313239595699451476711987872812735053086987929370542132641371694353019496984628413960311724020824421388032956137381442230562075304707254278546260005297456171555318748905791117461144175764222427122674563163043400213673685133612016583313658337687891386242242627959785676170080935706534059373329621152700961910729740075077577783752084419156865957315727339611213134711286407432292626628405531700705587709895590290990927168265435690831820925977622434629622055351822019709658493470335527778347994005269210649376199420930027581256849688970817649988364249485358555413891153987950591483276668077680078074859556510034876239899354009455297875720477494581567959810434909465127991007752472203201630666778978272377333590937906671952874057156347170625644714010244621207800481171479319467875406198177374194463868472840851788102015335040459679721083741016927984291442248204883414157053654650012080542763460619383924753870468089688371069329165811013809246912455015253141360630511529249440348755809282714195093060886298724352291659385624212817290801604868694357617567936167729298950994988485180299308845424316159853602099952979512845473783076007688877182859408313780660353833471776118365255714751338415269419855174340924803455333877405746894438170683661631257650719015437760563561390429722863733107835590136412967748087405842289658837792383131820741054733431784694570221882971653446539603240416405744305004748640765881985733972349314902632226840647565041900632465591603782109887581211979585415022697840641972383346212780712969545965665523257267115349831326142617567294563476080075765132211828669233957509115642549411985933339173625589297995392474453379869713108290425671843864624184603050560564946644536928610584226118596353622145549426564858552142797371590501762521362224575575603663135322603919730854569042724669728529369114600487012352388712940941399647023999876334927283162368332024748809096913867247083196391117744970208374270603035535657568648480958514344448416252218083223469127179755928253172713603443595792421127757892298998036393049597052470646268767566028551241831805238992035167229841688987849395222828654947124252063297280930782222411141158427412112204832742447195493827841921984058839070841483198203240415356259807648522392761043427579766039122692702608866757982071283006981184507870256213964735579577599683991408113210037734879166474685866043286623866418719189830186439888511092908627276615735111191277614659462415963151465695659495310588367162792868372569781725665160684113014830488536334292110935546780012594585088299484794154609482900505614691145395546352839653392027133699406797905820087059873122590420417633401384442795995165999474534812877036742454066975141709292937598408203496549730751935666438323233867331252867547470339545553551023496534388663931757536353907698548782388501437724388046227793157953120540326528499199902693193008007480961304502321363649143551103483523176406802699062796566511605653058160305296331081182738181200079251005313575695325613440356817341695888719958320296602513659573257583612597735283614782841788081223237761464983347429197048255071273415199170649373339718877672853243244190947352856265471813373528647724888961404557572346296609422922173340217184923145476175916133655864063368454251735208589
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 6,679-digit prime (427 intermediate primes).

Certified number6,679-digit prime
Certificatedownload
Certificate chainshow step 100 of 427

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008837133733 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000008837133733},"decimal":true,"detail":2}}'